How can I find the minimum number of open rectangles in a grid?
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Best solution

Find minimum number of rectangles of length 2 in a grid of binary values
Given a grid, I need to "cover" the true values with rectangles. The rectangles can only be horizontal or vertical and they can cover two cells at max. For example, in this case: 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 the minimum number of ractangles is 4: 1 from [0][0] to [1][0], 2 from [0][1] to [0][2], 3 with only [1][4] (since there aren't any adjacent 1s in the up, down, left and right directions) and the last one with only [2][3] in it. I suppose, the problem comes when the grid has many...
Answer:
I would simply go through the matrix and as soon I see a 1 I try to create a new rectangle with an adjacent...
Other solutions

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the xaxis over the given ...show more
Answer:
1/4*{[(2(3)^231) + (2(3.5)^23.51)] + [(2(3.5)^23.51) + (2(4)^241)] + [(2(4)^241 + (2(4.5)...

The start and end point are not specified. The grid is 20x20 therefore an exhaustive recursive search is prohibitively slow. Example Grid 5,3 1,9 The given value is 9 the sets required are.. {x,y} 5,3,1 {0,0},{1,0},{0,1} 9 {1,1}
Answer:
For each point on the grid, do a breadth first search of the graph. Mark a path as incomplete if it...

I have created a Java program to find all possible words already so I put a counter inside the code to get the total number of possible paths to look at to see if it's a word. Rather than using a computer to do the counting for me, how can I find the...
Answer:
As of 2014, this is an open problem in combinatorics that is unsolved for grids 5x5 or greater. UPDATE...

How to find all possible rectangles with whole number sides and perimeter 24 units?
Answer:
L+W=12 1,11 2,10 3,9 4,8 5,7 6,6

I am really stuck on my maths number grid investigation! Help me...?
Ok, so it is in for tomorrow, i don't know where else to turn for help! My friends and family have no clue like me so i'm going to type out the whole investigation sheet... Task statement: On a 10x10 number grid, take any 2x2 square and find the product...
Answer:
Have you got the grid on the paper, if not write it out. On the first line write numbers 1,2,3,4,5,...

The number of rectangles that you can find on chess board is = ? permitutation ?
A= 1196 B=1096 C=1296 D=1000 please explain it because i am in learning stage.
Answer:
you need to find out the # of distinct rectangles (incl. squares, since squares are a spl. type of rectangle...

For example, 1 3 2 6 8 9 7 1 1 2 1 5 0 1 9 In this grid, (3, 2, 1, 0, 1) is a snake sequence. Given a grid, find the longest snake sequences and their lengths (so there can be multiple snake sequences with the maximum length).
Answer:
Well, asymptotically, you can't do better than exponential: you can construct matrixes with an exponential...

Find roots of the polynomial: a*x^6+b*x^5+c*x^4+d*x^3+e*x^2+f
An algebraic solution is preferred as I'm going to have to solve this problem hundreds of thousands of times with different coefficients. Here are the coefficients: a = 4*n^4*(p^2+q^2) b = 4*n^2*p*(m^2*p^2+n^2*p^2+m^2*q^2+n^2*q^2+n^2*r^2) c = m^...
Answer:
Hi, John: As you've outlined, a vertical beam of light strikes a point on an upper semicircle: x...

How do i find the slope and midpoint Given two points on a grid in number form (7,6) (3,10)
Answer:
The slope to the points (7,6) (3,10) is .4. The midpoint is (2,8).